112585320 has 48 divisors (see below), whose sum is σ = 365903460. Its totient is φ = 30022656.

The previous prime is 112585313. The next prime is 112585357. The reversal of 112585320 is 23585211.

It is a happy number.

112585320 is a `hidden beast` number, since 1 + 125 + 8 + 532 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103184964 + 9400356 = 10158^2 + 3066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156009 + ... + 156728.

Almost surely, 2^112585320 is an apocalyptic number.

112585320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112585320 is an abundant number, since it is smaller than the sum of its proper divisors (253318140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112585320 is a wasteful number, since it uses less digits than its factorization.

112585320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312754 (or 312747 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 112585320 is about 10610.6229788830. The cubic root of 112585320 is about 482.8666993229.

The spelling of 112585320 in words is "one hundred twelve million, five hundred eighty-five thousand, three hundred twenty".